Building a Neural Network with MS Excel: A Step-by-Step Guide
Introduction
Neural networks are a fundamental concept in machine learning, and building one can seem daunting, especially for those without extensive programming experience. However, did you know that you can build a simple neural network using MS Excel? In this guide, we'll walk you through the process of building a basic neural network using Excel's built-in functions and tools.
Prerequisites
Step 1: Prepare the Data
Step 2: Define the Neural Network Architecture
Step 3: Initialize Weights and Biases
Step 4: Create the Neural Network Calculations
=X1*W1_1+X2*W1_2+B1_1 and =X1*W1_1+X2*W1_2+B1_2=1/(1+EXP(-(Hidden_Input_1))) and =1/(1+EXP(-(Hidden_Input_2)))=Hidden_Output_1*W2_1+Hidden_Output_2*W2_2+B2=1/(1+EXP(-(Output_Input)))Step 5: Implement Backpropagation
=Y_Predicted-Y_Actual=Error*Output_Input*(1-Output_Input)=Error*W2_1*Hidden_Output_1*(1-Hidden_Output_1)=W1_1+Learning_Rate*Gradient_1=B1_1+Learning_Rate*Gradient_2Step 6: Train the Neural Network
Tips and Limitations
By following these steps, you've built a basic neural network using MS Excel. While this example is simplified, it demonstrates the fundamental concepts and can serve as a starting point for more advanced explorations in machine learning. Happy learning!
Building a neural network from scratch in Microsoft Excel is possible using core spreadsheet formulas for Forward Propagation Backpropagation Towards AI The architecture for a simple network consists of an Input Layer (your features), a Hidden Layer (where features are combined), and an Output Layer (your final prediction). Towards Data Science 1. Initialize Weights and Biases
Begin by creating a section for your model parameters. These must be initialized with small random values to allow the network to start learning. Towards AI Weights (W):
Create a matrix for each layer. If you have 3 inputs and 4 hidden neurons, your weight matrix will be Biases (b):
Assign one bias value to every neuron in the hidden and output layers. Towards Data Science 2. Forward Propagation
Forward propagation moves data from the input layer through to the final output. Towards Data Science Calculate Weighted Sum:
For each neuron, calculate the dot product of the inputs and their corresponding weights, then add the bias. Excel Tip: Use the SUMPRODUCT function or for matrix multiplication. Apply Activation Function: Pass the sum through a non-linear function like to introduce non-linearity. Sigmoid Formula: Excel Formula: =1/(1+EXP(-Z)) 3. Calculate Error (Loss) Measure how far the network's prediction ( y sub h a t end-sub ) is from the actual target value ( Building a fully connected Neural Net in Excel Maddison build neural network with ms excel full
Building a neural network in MS Excel is a powerful way to visualize the "black box" of AI. You can create a fully functional network using standard cell formulas or the Excel Solver for optimization. Step 1: Set Up Data and Weights
Begin by organizing your input data and initializing parameters.
Data Normalization: Scale your input values to a range between 0 and 1 or -1 and 1 to help the network converge faster.
Weight Initialization: Use the =RAND() function to assign small random numbers to the weights connecting each layer.
Structure: Create separate areas for your Input Layer, Hidden Layer(s), and Output Layer. For a simple XOR problem, two hidden neurons are often sufficient. Step 2: Forward Propagation
This is where the network calculates a prediction based on inputs. Weighted Sum (
): For each neuron, multiply each input by its weight and add a bias. In Excel, use the SUMPRODUCT function. Formula Example: =SUMPRODUCT(Inputs, Weights) + Bias Activation Function (
): Pass the weighted sum through a non-linear function like Sigmoid to normalize the output between 0 and 1. Sigmoid Formula: =1/(1 + EXP(-z)) Step 3: Calculate Loss (Error)
Determine how far the network's prediction is from the actual target. A common method is the Mean Squared Error (MSE).
Building a neural network in Microsoft Excel is an excellent way to visualize the "black box" of machine learning. By using standard formulas and the Excel Solver add-in, you can create a functional model without writing complex code. Architecture Overview
For this guide, we will build a simple feedforward network consisting of: Input Layer: Two features (
Hidden Layer: Two neurons with a Sigmoid activation function. Output Layer: One neuron for classification or regression. Step 1: Set Up Your Data and Parameters Organize your spreadsheet into three main sections: Training Data: Create columns for your inputs ( ) and the known target output (
Weights and Biases: Designate a cell for each parameter. For this model, you will need: 4 weights ( ) for the input-to-hidden layer. 2 biases ( ) for the hidden neurons. 2 weights ( ) and 1 bias ( boutb sub o u t end-sub ) for the output neuron.
Initialization: Use =RAND() to assign small, random initial values to all weights and biases. Step 2: Implement Forward Propagation
In new columns next to your training data, calculate the flow of information through the network using standard formulas: Training a Neural Network in a Spreadsheet
We need 4 weight matrices and 2 bias vectors.
Setting up Input → Hidden (Shape: 4x2) Building a Neural Network with MS Excel: A
=RAND()/2 (Copy to range B2:C5)Setting up Hidden Bias (Shape: 4x1)
=RAND()/2 (Copy to E2:E5)Setting up Hidden → Output (Shape: 1x4)
=RAND()/2 (Copy to G2:J2)Setting up Output Bias (Scalar)
=RAND()/2This is the most complex part. We need to compute how much each weight contributed to the error. We will calculate gradients for Output Layer first, then Hidden Layer.
Introduction
A simple neural network can be implemented entirely in Excel to illustrate how forward propagation, backpropagation, and weight updates work. This guide builds a compact feedforward network (one hidden layer) for a binary classification or regression task using only Excel formulas and iterative recalculation. No VBA required.
What you'll get
Assumptions (reasonable defaults)
Sheet layout (recommended)
Step-by-step: set up cells and formulas
dLoss_dA2 (K10): = 2*(I10 - C10) // derivative of MSE w.r.t output
dA2_dZ2 (L10): = I10*(1 - I10) // sigmoid derivative
dLoss_dZ2 (M10): = K10 * L10
Gradients for W2 (two entries):
dLoss_dW2_1 (N10): = M10 * E10 // gradient wrt W2_1
dLoss_dW2_2 (O10): = M10 * G10 // gradient wrt W2_2
dLoss_db2 (P10): = M10
Backprop to hidden layer:
dZ2_dA1_1 (Q10): = $F$4 // W2_1
dZ2_dA1_2 (R10): = $F$5 // W2_2
dLoss_dA1_1 (S10): = M10 * Q10
dLoss_dA1_2 (T10): = M10 * R10
dA1_1_dZ1_1 (U10): = E10*(1 - E10) // sigmoid derivative for neuron1
dA1_2_dZ1_2 (V10): = G10*(1 - G10)
dLoss_dZ1_1 (W10): = S10 * U10
dLoss_dZ1_2 (X10): = T10 * V10 MS Excel 2010 or later Basic understanding of
Gradients for W1 (four entries):
dLoss_dW1_11 (Y10): = W10 * A10 // input X1
dLoss_dW1_21 (Z10): = W10 * B10 // input X2
dLoss_dW1_12 (AA10): = X10 * A10
dLoss_dW1_22 (AB10): = X10 * B10
dLoss_db1_neuron1 (AC10): = W10
dLoss_db1_neuron2 (AD10): = X10
Implement updates: two approaches
Training loop example (manual)
Stopping criteria
Debugging tips
Scaling & limitations
Optional: Implementing cross-entropy (brief)
Visualization
Complete example workbook structure (quick map)
Final note This Excel implementation teaches core NN math by making every intermediate derivative explicit. For reproducibility, keep copies of initial random seeds (or fixed initial weights) and record the epoch log. For production or larger experiments, migrate the same formulas to code (Python) for efficiency and flexibility.
If you want, I can:
Which would you like?
(Predicted - Actual) * Predicted * (1 - Predicted)
=(J20) * (K20_actual_pred) * (1 - K20_actual_pred)K20_actual_pred be the cell with the O_Pred formula.Delta_Output * H1_Act
=L20 * G20Delta_Output * H2_Act
=L20 * H20Delta_Output * 1
=L20We will build a 3-layer network:
Sigmoid activation.Sigmoid activation.The Math (Forward Propagation): $$Z_hidden = X \cdot W_input\rightarrow hidden + b_hidden$$ $$A_hidden = \sigma(Z_hidden)$$ $$Z_output = A_hidden \cdot W_hidden\rightarrow output + b_output$$ $$A_output = \sigma(Z_output)$$
$$\textLoss = -[y \log(\haty) + (1-y) \log(1-\haty)]$$
This is where Excel shines. We compute how much each weight contributed to the error.
More complex, but in essence:
For h1 (cell W14):
= ($Q$14*$R$14*$J$4) * (J14*(1-J14))